混合有限元与矩量法模拟散射问题的预处理技术  

Preconditioning Techniques for Modeling the Scattering Problem by Hybrid FEM-MoM Method

作　　者：任志刚[1,2] 黄廷祝[1] 李良[1] 

机构地区：[1]电子科技大学数学科学学院,成都611731 [2]中国西南电子技术研究所,成都610036

出　　处：《电子科技大学学报》2011年第6期878-881,共4页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金(60973015);四川省科技研究项目(2009SPT-1)

摘　　要：混合矩量法与有限元法模拟散射问题可以归结为一个复线性系统的求解,该复线性系统的迭代求解十分困难,预条件技术恰恰可以提高复线性系统迭代求解的收敛速率。针对混合矩量法与有限元法模拟散射问题得到的复线性系统,给出了几种预条件子,数值例子表明给出的预条件子提高了此复线性系统迭代法求解时的收敛速率。Complex linear systems will be generated when scattering problems are simulated by hybrid FEM-MoM methods, such complex linear systems are difficult to solve with iterative methods alone, so preconditioning technique is usually applied to accelerate the convergence rate of iterative methods. For such complex linear systems, several preconditioners are proposed in this paper. Numerical results show the effectiveness of the proposed preconditioning technique.

关 键 词：有限元 迭代法 矩量法 预处理 散射 

分 类 号：O242[理学—计算数学] O441[理学—数学]